1.
(02.07 LC)
An inequality is shown below:
−np − 5 ≤ 4(c − 2)
Which of the following solves for n? (5 points)
n ≥ − the quantity 4 times c minus 3 all over p
n ≥ − the quantity 4 times c minus 13 all over p
n ≤ − the quantity 4 times c minus 3 all over p
n ≤ − the quantity 4 times c minus 13 all over p
2.
(02.02, 02.06 HC)
LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of $100 and a monthly fee of $38. If x represents the number of months that LaToya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:
100 + 38x = C
LaToya has allocated a maximum of $404 to spend on her gym membership. Which number line shows the possible number of months that LaToya can be a member of the gym? (5 points)
A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 0 to 8 is bold with shaded circles at 0 and at 8
A number line shows numbers from 0 to 13 in increments of 1. The portion of the line from 1 to 13 is bold with shaded circles at 1 and at 13
A number line shows numbers from 0 to 13 in increments of 1. The portion of the line from 0 to 13 is bold with shaded circles at 0 and at 13
A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 1 to 8 is bold with shaded circles at 1 and at 8
3.
(04.07 MC)
The following function represents the value of a house, in dollars, after x years:
f(x) = 242,000(1.04)x
What does 242,000 represent? (5 points)
The present value of the house
The value of the house after x years
The increase in the value of the house each year
The increase in the value of the house after x years
4.
(04.02 LC)
Given the two expressions shown below:
square root of 3 plus square root of 2
square root of 5 plus square root of 6
Which statement best describes the two expressions? (5 points)
Both are rational.
Both are irrational.
A is rational, but B is irrational.
A is irrational, but B is rational.
5.
(05.06 HC)
The coordinate plane below represents a town. Points A through F are farms in the town.
graph of coordinate plane. Point A is at 1, 3. Point B is at 3, 1. Point C is at 3, negative 3. Point D is at negative 4, 2. Point E is at negative 1, 5. Point F is at negative 3, negative 3.
Part A: Using the graph above, create a system of inequalities that only contains points D and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)
Part B: Explain how to verify that the points D and E are solutions to the system of inequalities created in Part A. (3 points)
Part C: Chickens can only be raised in the area defined by y > 3x − 4. Explain how you can identify farms in which chickens can be raised. (2 points)
(10 points)
6.
(05.05 LC)
Determine the type of boundary line and shading for the graph of the inequality 4x + y > −6. (5 points)
Dashed line with shading on the side that includes the origin
Solid line with shading on the side that does not include the origin
Dashed line with shading on the side that does not include the origin
Solid line with shading on the side that includes the origin
7.
(04.05 MC)
Heidi is preparing for the national gymnastics competition. The table below shows the number of hours Heidi spent preparing for a gymnastics competition over a period of five months:
Month 1 2 3 4 5
Hours 2 3.5 5 6.5 8
Did Heidi increase the number of hours of practice linearly or exponentially? (5 points)
Linearly, because the table shows an equal increase in hours for an equal increase in months
Exponentially, because the table shows an equal increase in hours for an equal increase in months
Linearly, because the table shows that hours increase by an equal factor for an equal increase in months
Exponentially, because the table shows that hours increase by an equal factor for an equal increase in months
8.
(04.05 MC)
Which graph best represents the function f(x) = 2(1.5)x? (5 points)
graph of increasing exponential function going through point 0, 2
graph of increasing exponential function going through point 0, 3
graph of increasing exponential function going through point 0, 1
graph of increasing exponential function going through point 0, 4
9.
(01.02 LC)
Simplify the following expression: (5 points)
5x − 6y + 5z − x − 12y + 2z
6x − 18y + 7z
4x − 18y + 7z
4x − 6y + 7z
6x − 6y + 7z
10.
(03.07 LC)
Choose the graph that correctly corresponds to the equation y = −4. (5 points)
graph of a horizontal line through the point (0,4)
graph of a vertical line through the point (4,0)
graph a horizontal line through the point (0, negative 4)
graph of a vertical line through the point (negative 4,0)
